@inproceedings{bb3bc3d8f81d4d6fadd36293f978f0e1,

title = "ON THE INSTABILITY OF HEATED FILM FLOW WITH VARIABLE SURFACE TENSION.",

abstract = "The effect of a temperature-dependent surface tension upon the instability of film flow down a heated inclined plane is investigated for long-wavelength disturbances. For 2-D waves, a quadratic equation for the critical Reynolds number results. One root of this equation corresponds to a hydrodynamic instability as modified by thermocapillary action, whereas the other root corresponds to a thermocapillary instability as modified by shear. As the Marangoni number increases, the roots approach each other and eventually become equal. Thereafter, the flow is unstable for all Reynolds numbers. 2-D waves are found to be more unstable than longitudinal rolls. The numerical results are presented in a form appropriate to an experiment in which the Reynolds number varies by changing the film thickness or the angle of inclination.",

author = "Kelly, {R. E.} and Davis, {S. H.} and Goussis, {D. A.}",

year = "1986",

doi = "10.1615/ihtc8.1680",

language = "British English",

isbn = "0891165924",

series = "Heat Transfer, Proceedings of the International Heat Transfer Conference",

pages = "1937--1942",

booktitle = "Heat Transfer, Proceedings of the International Heat Transfer Conference",

}